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1

### IIT-JEE 1980

The point $$\,\left( {4,\,1} \right)$$ undergoes the following three transformations successively.
Reflection about the line $$y=x$$.
Translation through a distance 2 units along the positive direction of x-axis.
Rotation through an angle $$p/4$$ about the origin in the counter clockwise direction.
Then the final position of the point is given by the coordinates.
A
$$\left( {{1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)$$
B
$$\left( { - \sqrt 2 ,\,7\sqrt 2 } \right)$$
C
$$\left( { - {1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)$$
D
$$\left( { \sqrt 2 ,\,7\sqrt 2 } \right)$$
2

### IIT-JEE 1979

The points $$\left( { - a,\, - b} \right),\,\left( {0,\,0} \right),\,\left( {a,\,b} \right)$$ and $$\left( {{a^2},\,ab} \right)$$ are :
A
Collinear
B
Vertices of a parallelogram
C
Vertices of a rectangle
D
None of these

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